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Finding the Fourth Proportional to 347.37, 520.65 and 152.32

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Solution

The fourth proportional to 347.37, 520.65 and 152.32 is: 228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.37 : 520.65 = 152.32 : x
  2. Step 2: Convert to fraction form
    347.37/520.65 = 152.32/x
  3. Step 3: Cross multiply
    347.37x = 520.65 × 152.32
  4. Step 4: Simplify right side
    347.37x = 79,304.65
  5. Step 5: Solve for x
    x = 79,304.65/347.37
  6. Step 6: Final answer
    x = 228.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.